If root(24 - 10a) = 3 - 4a > 0 what is the value of a ?
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Step-by-step explanation:
root (24-10a)=3-4a
Squaring both sides
24-10a=9+16a²-24a
=16a²-24a+10a+9-24
16a²-14a-15=0
16a²-24a+10a-15=0
8a(2a-3)+2(2a-3)=0
(8a+2)(2a-3)=0
a=-1/4. a=3/2
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